Prime p₀= 2475309590578879697 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: Time_Traveler
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2475308969176364267	0 36 86 90 116 134 162 204 212 254 282 300 326 330 380 416	-621402515430
TPT(14)	2475309049214290019	0 2 12 14 78 80 132 134 150 152 168 170 222 224	-541364589678
STPT(10)	2475309049214290097	0 2 54 56 72 74 90 92 144 146	-541364589600
STPT(10)	2475309126130335791	0 2 6 8 18 20 30 32 36 38	-464448543906
SPT(16)	2475309398968185421	0 42 76 78 102 130 186 208 210 232 288 316 340 342 376 418	-191610694276
STPT(10)	2475309468977393099	0 2 18 20 30 32 42 44 60 62	-121601486598
SPT(16)	2475309593871517003	0 18 34 40 76 108 144 156 238 250 286 318 354 360 376 394	3292637306
SPT(16)	2475310074421691963	0 18 56 60 108 114 140 180 224 264 290 296 344 348 386 404	483842812266
STPT(10)	2475310301817654407	0 2 12 14 42 44 72 74 84 86	711238774710
SPT(16)	2475310370343746917	0 4 10 42 76 90 94 100 186 192 196 210 244 276 282 286	779764867220
STPT(10)	2475310525470171797	0 2 42 44 72 74 102 104 144 146	934891292100